a) What is the economic order quantity? 306 units (round your response to the nearest whole number). b) What are the annual holding costs? $3365 (round your response to the nearest whole number). c) What are the annual ordering costs? $ 3364 (round your response to the nearest whole number). d) What is the reorder point? units (round your response to the nearest whole number).
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- XYZ company is determining the inventory policy for product A which has annual demand distributed as Normal (500, 120). The value of each item is $25. The fixed ordering cost per order is $200. The lead time from supplier of an order is stochastic with mean 4 weeks and standard deviation 2 weeks. The company calculates the holding cost by using an interest rate of 25%. a) Determine the (Q, R) values if the company desires to use a Type 1 service level of 98%. b) Determine the (Q, R) values if the company desires to use a Type 2 service level of 95%. c) Determine the (Q, R) values if the company desires to use a shortage cost of $6.74 per unit of unsatisfied demand.The Farmer’s Wife is a country store specializing in knickknacks suitable for a farm-house décor. One item experiencing a considerable buying frenzy is a miniature Holstein cow. Average weekly demand is 30 cows, with a standard deviation of 5 cows. The cost to place a replenishment order is $15 and the holding cost is $0.75/cow/year. The supplier, however, is inChina. The lead time for new orders is 8 weeks, with a standard deviation of 2 weeks. The Farmer’s Wife, which is open only 50 weeks a year, wants to develop a continuous review inventory system for this item with a cycle-service level of 90 percent.a. Specify the continuous review system for the cows. Explain how it would work in practice.b. What is the total annual cost for the system you developed?In many respects, the food inventory decision for eachCelebrity cruise matches the single-period inventory modeldescribed in this chapter. Consider the decision about chicken.Suppose that Celebrity purchases chicken in bulk for $0.80 perpound, and any chicken left over after a cruise is donated tolocal food banks. Management estimates that a shortage penaltyof $1.00 per pound is incurred due to lost customer goodwillfrom unsatisfied demand. If chicken demand for a 7-daycruise is normally distributed with a mean of 3,000 pounds anda standard deviation of 200 pounds, how many pounds shouldbe brought onto the ship?
- 3) The Omnigroup stocks and sells Kipor generators. The firm gathered the following information from its Kathmandu office: Demand = D = 19,500 units per year Ordering cost = S = $25.60 per order Holding cost = H = $4.40 per unit per year The firm wants to calculate the: a) EOQ for the Kipor generators. b) Annual holding costs for the Kipor generators. c) Annual ordering costs for the Kipor generators. Hint: EOQ = square root of (2DS/H) Annual Holding Cost = (Q/2) H Annual Ordering Cost = (D/Q) SA producer of tires has an annual demand for a specific brand of tire. Theannual demand is 14,000. The cost of ordering these tires for the distributioncenter for each order is $1,200 per order. The annual holding cost is $8.50 pertire per year (in U.S. dollars): (In Excel with formulas)a What is the EOQ and the total annual cost at EOQ?b If the company decides to place more frequent orders, then theordering cost would increase to $1,800 per order. Nevertheless, the increasedfrequency of orders would decrease the annual holding cost to $6.50 per tireper year. Should the distribution center order tires more frequently?Buckley Enterprise sells a product that cost $450 per unit and has a monthly demand of 5,000units. The annual holding cost per unit is calculated as 5% of the unit purchase price. It costs thebusiness $75 to place a single order. Currently the business places 12 orders each year.i) What is the total stock administrative cost of Buckley’s current inventory policy?ii) Is this the entity’s cost minimizing solution for this product each year? Explain.
- A company will begin stocking remote control devices. Expected monthly demand is 800 units. Thecontrollers can be purchased from either supplier A or supplier B. Their price lists are as follows:SUPPLIER A SUPPLIER BQuantity Unit Price Quantity Unit Price1–199 $14.00 1–149 $14.10200–499 13.80 150–349 13.90500 + 13.60 350 + 13.70 Ordering cost is $40 and annual holding cost is 25 percent of unit price per unit. Whichsupplier should be used and what order quantity is optimal if the intent is to minimize totalannual costs?The Soon Company is a multinational company that purchases one of its crucial components from a supplier who offers quantity discounts to encourage larger order quantities. The supply chain manager of the company wants to determine the optimal order quantity to minimize the total annual inventory cost. The company’s annual demand forecast for the item is 850 units, the order cost is $10 per order, and the annual holding rate is 41 percent. The price schedule for the item is: Order Quantity Price per Unit ($) 1–150 6.00 151–350 5.50 351 and above 5.00 The first break point is 151 units and the second is 351 units. The spreadsheet is below and perform the required analysis Optimal Order Quantity with Quantity Discounts Annual Demand Forecast 850 Order cost per order $10.00 Annual holding rate 41% Order Quantity Price per unit 1 150 $6.00 151 350 $5.50 351 1.00E+99 $5.00 Feasible? EOQ at the highest…1) Store A orders on a weekly basis. Its weekly demand is 50 units with a standard deviation of five units. The holding cost is $10 per unit per week and a 0.99 in-stock probability is desired. What is Store A’s average holding cost incurred each week for on-order inventory if lead time is five weeks? 2) Store A orders on a weekly basis. Its weekly demand is 50 units with a standard deviation of five units. The holding cost is $10 per unit per week and a 0.99 in-stock probability is desired. What is Store A’s average on-hand inventory if lead time is five weeks?
- A health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Co = $26.50 and Ch = $7. The demand exhibits some variability such that the lead-time demand follows a normal probability distribution with ? = 25 and ? = 5. (a) What is the recommended order quantity? (Round your answer to the nearest integer.):________ (b) What are the reorder point and safety stock if the store desires at most a 6% probability of stock-out on any given order cycle? (Round your answers to the nearest integer.) reorder point:________ safety stock:________ (c) If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to four decimal places.):________ How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest integer.):________3. Skinner’s Fish Market buys fresh Boston bluefish daily for $4.20 per pound and sells it for $6 per pound. At the end of each business day, any remaining bluefish is sold to a producer of cat food for $3 per pound. Daily demand can be approximated by a normal distribution with a mean of 64 pounds and a standard deviation of 11 pounds. What is the optimal order quantity (stocking level)? Round your answer to 2 decimal places. Answer:_______A local artisan uses supplies purchased from an overseas supplier. The ownerbelieves the assumptions of the EOQ model are met reasonably well. Minimization ofinventory cost is her objective. Relevant data, from the files of the credit firm, are annualdemand (C) = 240 units, ordering cost (B) = 42 MU/order, and holding cost = 4MU/unit/year.a) How many should she order at one time?b) How many times per year will she replenish its inventory of this material?c) What will be the total inventory costs associated with this material? Please mention formulas and do it in detail so I can understand.